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Finding the Fourth Proportional to 296,607.63, 409,316.49 and 160,638.47

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Solution

The fourth proportional to 296,607.63, 409,316.49 and 160,638.47 is: 221,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,607.63 : 409,316.49 = 160,638.47 : x
  2. Step 2: Convert to fraction form
    296,607.63/409,316.49 = 160,638.47/x
  3. Step 3: Cross multiply
    296,607.63x = 409,316.49 × 160,638.47
  4. Step 4: Simplify right side
    296,607.63x = 65,751,974,187.72
  5. Step 5: Solve for x
    x = 65,751,974,187.72/296,607.63
  6. Step 6: Final answer
    x = 221,679.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.